Algebra ICCSS Regents Exam 0116Page 1
Algebra ICCSS Regents Exam 0116Page 1
1In the function , the minimum value occurs when x is
1) / / 3) /2) / 2 / 4) / 4
2The graph below was created by an employee at a gas station.
Which statement can be justified by using the graph?
1) / If 10 gallons of gas was purchased, $35 was paid. / 3) / For every 2 gallons of gas purchased, $5.00 was paid.2) / For every gallon of gas purchased, $3.75 was paid. / 4) / If zero gallons of gas were purchased, zero miles were driven.
3For a recently released movie, the function models the revenue earned, y, in millions of dollars each week, x, for several weeks after its release. Based on the equation, how much more money, in millions of dollars, was earned in revenue for week 3 than for week 5?
1) / 37.27 / 3) / 17.062) / 27.16 / 4) / 10.11
4Given the following expressions:
I. III.
II. IV.
Which expression(s) result in an irrational number?
1) / II, only / 3) / I, III, IV2) / III, only / 4) / II, III, IV
5Which inequality is represented by the graph below?
1) / / 3) /2) / / 4) /
6Michael borrows money from his uncle, who is charging him simple interest using the formula . To figure out what the interest rate, r, is, Michael rearranges the formula to find r. His new formula is r equals
1) / / 3) /2) / / 4) /
7Which equation is equivalent to ?
1) / / 3) /2) / / 4) /
8The equation is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation?
1) / 0.02% decay / 3) / 2% decay2) / 0.02% growth / 4) / 2% growth
9The zeros of the function are
1) / 3 and / 3) / and 12) / 3 and 1 / 4) / and
10When is subtracted from , the result is
1) / / 3) /2) / / 4) /
11Joe has a rectangular patio that measures 10 feet by 12 feet. He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x. Which equation could be used to determine x?
1) / / 3) /2) / / 4) /
12When factored completely, is
1) / / 3) /2) / / 4) /
13The table below shows the cost of mailing a postcard in different years. During which time interval did the cost increase at the greatest average rate?
Year / 1898 / 1971 / 1985 / 2006 / 2012Cost (¢) / 1 / 6 / 14 / 24 / 35
1) / 1898-1971 / 3) / 1985-2006
2) / 1971-1985 / 4) / 2006-2012
14When solving the equation by completing the square, which equation is a step in the process?
1) / / 3) /2) / / 4) /
15A construction company uses the function , where p is the number of people working on a project, to model the amount of money it spends to complete a project. A reasonable domain for this function would be
1) / positive integers / 3) / both positive and negative integers2) / positive real numbers / 4) / both positive and negative real numbers
16Which function is shown in the table below?
x / f(x)0 / 1
1 / 3
2 / 9
3 / 27
1) / / 3) /
2) / / 4) /
17Given the functions and , which value of x makes ?
1) / / 3) / 32) / 2 / 4) /
18Which recursively defined function represents the sequence ?
1) / / 3) /2) / / 4) /
19The range of the function defined as is
1) / / 3) /2) / / 4) /
20The graph of is shown below.
What is the graph of ?
1) / / 3) /2) / / 4) /
21Which pair of equations could not be used to solve the following equations for x and y?
1) / / 3) /2) / / 4) /
22The graph representing a function is shown below.
Which function has a minimum that is less than the one shown in the graph?
1) / / 3) /2) / / 4) /
23Grisham is considering the three situations below.
I.For the first 28 days, a sunflower grows at a rate of 3.5 cm per day.
II.The value of a car depreciates at a rate of 15% per year after it is purchased.
III.The amount of bacteria in a culture triples every two days during an experiment.
Which of the statements describes a situation with an equal difference over an equal interval?
1) / I, only / 3) / I and III2) / II, only / 4) / II and III
24After performing analyses on a set of data, Jackie examined the scatter plot of the residual values for each analysis. Which scatter plot indicates the best linear fit for the data?
1) / / 3) /2) / / 4) /
25The function, , is shown in the table below.
x / t(x)/ 10
/ 7.5
1 / 5
3 / 2.5
5 / 0
Determine whether is linear or exponential. Explain your answer.
26Marcel claims that the graph below represents a function.
State whether Marcel is correct. Justify your answer.
27Solve the equation for y:
28The graph below shows the variation in the average temperature of Earth's surface from 1950-2000, according to one source.
During which years did the temperature variation change the most per unit time? Explain how you determined your answer.
29The cost of belonging to a gym can be modeled by , where is the total cost for m months of membership. State the meaning of the slope and y-intercept of this function with respect to the costs associated with the gym membership.
30A statistics class surveyed some students during one lunch period to obtain opinions about television programming preferences. The results of the survey are summarized in the table below.
Programming PreferencesComedy / Drama
Male / 70 / 35
Female / 48 / 42
Based on the sample, predict how many of the school's 351 males would prefer comedy. Justify your answer.
31Given that , solve for x in terms of a and b:
32Jacob and Jessica are studying the spread of dandelions. Jacob discovers that the growth over t weeks can be defined by the function . Jessica finds that the growth function over t weeks is . Calculate the number of dandelions that Jacob and Jessica will each have after 5 weeks. Based on the growth from both functions, explain the relationship between and .
33Let represent the height of an object above the ground after t seconds. Determine the number of seconds it takes to achieve its maximum height. Justify your answer. State the time interval, in seconds, during which the height of the object decreases. Explain your reasoning.
34Fred's teacher gave the class the quadratic function .
a) State two different methods Fred could use to solve the equation .
b) Using one of the methods stated in part a, solve for x, to the nearest tenth.
35Erica, the manager at Stellarbeans, collected data on the daily high temperature and revenue from coffee sales. Data from nine days this past fall are shown in the table below.
Day1 / Day
2 / Day
3 / Day
4 / Day
5 / Day
6 / Day
7 / Day
8 / Day
9
High
Temperature, t / 54 / 50 / 62 / 67 / 70 / 58 / 52 / 46 / 48
Coffee Sales, f(t) / $2900 / $3080 / $2500 / $2380 / $2200 / $2700 / $3000 / $3620 / $3720
State the linear regression function, , that estimates the day's coffee sales with a high temperature of t. Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth. Does r indicate a strong linear relationship between the variables? Explain your reasoning.
36A contractor has 48 meters of fencing that he is going to use as the perimeter of a rectangular garden. The length of one side of the garden is represented by x, and the area of the garden is 108 square meters. Determine, algebraically, the dimensions of the garden in meters.
37The Reel Good Cinema is conducting a mathematical study. In its theater, there are 200 seats. Adult tickets cost $12.50 and child tickets cost $6.25. The cinema's goal is to sell at least $1500 worth of tickets for the theater. Write a system of linear inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy the cinema's goal. Graph the solution to this system of inequalities on the set of axes below. Label the solution with an S. Marta claims that selling 30 adult tickets and 80 child tickets will result in meeting the cinema's goal. Explain whether she is correct or incorrect, based on the graph drawn.
Algebra ICCSS Regents Exam 0116
1ANS:2PTS:2REF:011601aiNAT:F.IF.C.8
TOP:Vertex Form of a Quadratic
2ANS:2PTS:2REF:011602aiNAT:A.CED.A.2
TOP:Graphing Linear Functions
3ANS:3
PTS:2REF:011603aiNAT:F.IF.A.2TOP:Evaluating Functions
4ANS:1PTS:2REF:011604aiNAT:N.RN.B.3
TOP:Operations with RadicalsKEY:classify
5ANS:2PTS:2REF:011605aiNAT:A.REI.D.12
TOP:Graphing Linear Inequalities
6ANS:3PTS:2REF:011606aiNAT:A.CED.A.4
TOP:Transforming Formulas
7ANS:4
PTS:2REF:011607aiNAT:A.REI.B.4TOP:Solving Quadratics
KEY:completing the square
8ANS:4PTS:2REF:011608aiNAT:F.LE.B.5
TOP:Modeling Exponential Functions
9ANS:1
PTS:2REF:011609aiNAT:A.SSE.B.3TOP:Solving Quadratics
10ANS:3
PTS:2REF:011610aiNAT:A.APR.A.1TOP:Operations with Polynomials
KEY:multiplication
11ANS:2PTS:2REF:011611aiNAT:A.CED.A.1
TOP:Geometric Applications of Quadratics
12ANS:3PTS:2REF:011612aiNAT:A.SSE.A.2
TOP:Factoring PolynomialsKEY:higher power AI
13ANS:4
(1) (2) (3) (4)
PTS:2REF:011613aiNAT:F.IF.B.6TOP:Rate of Change
KEY:AI
14ANS:2
PTS:2REF:011614aiNAT:A.REI.B.4TOP:Solving Quadratics
KEY:completing the square
15ANS:1PTS:2REF:011615aiNAT:F.IF.B.5
TOP:Domain and Range
16ANS:4PTS:2REF:011616aiNAT:F.LE.A.2
TOP:Families of Functions
17ANS:1
PTS:2REF:011617aiNAT:A.REI.D.11TOP:Other Systems
KEY:AI
18ANS:3PTS:2REF:011618aiNAT:F.LE.A.2
TOP:Sequences
19ANS:2PTS:2REF:011619aiNAT:F.IF.A.2
TOP:Domain and RangeKEY:real domain, exponential
20ANS:1PTS:2REF:011620aiNAT:F.BF.B.3
TOP:Transformations with FunctionsKEY:bimodalgraph
21ANS:4PTS:2REF:011621aiNAT:A.REI.C.5
TOP:Solving Linear Systems
22ANS:3PTS:2REF:011622aiNAT:F.IF.C.9
TOP:Comparing FunctionsKEY:AI
23ANS:1PTS:2REF:011623aiNAT:F.LE.A.1
TOP:Families of Functions
24ANS:3
For a residual plot, there should be no observable pattern and a similar distribution of residuals above and below the x-axis.
PTS:2REF:011624aiNAT:S.ID.B.6TOP:Residuals
25ANS:
Linear, because the function has a constant rate of change.
PTS:2REF:011625aiNAT:F.LE.A.1TOP:Families of Functions
26ANS:
No, because the relation does not pass the vertical line test.
PTS:2REF:011626aiNAT:F.IF.A.1TOP:Defining Functions
KEY:graphs
27ANS:
PTS:2REF:011627aiNAT:A.REI.B.4TOP:Solving Quadratics
KEY:factoring
28ANS:
During 1960-1965 the graph has the steepest slope.
PTS:2REF:011628aiNAT:F.IF.B.6TOP:Rate of Change
KEY:AI
29ANS:
The slope represents the amount paid each month and the y-intercept represents the initial cost of membership.
PTS:2REF:011629aiNAT:F.LE.B.5TOP:Modeling Linear Functions
30ANS:
PTS:2REF:011630aiNAT:S.ID.B.5TOP:Frequency Tables
KEY:two-way
31ANS:
PTS:2REF:011631aiNAT:A.REI.B.3TOP:Solving Linear Inequalities
32ANS:
PTS:2REF:011632aiNAT:A.SSE.B.3TOP:Modeling Exponential Functions
KEY:AI
33ANS:
. The height decreases after reaching its maximum at until it lands at
PTS:4REF:011633aiNAT:F.IF.B.4TOP:Graphing Quadratic Functions
KEY:context
34ANS:
Two of the following: quadratic formula, complete the square, factor by grouping or graphically.
PTS:4REF:011634aiNAT:A.REI.B.4TOP:Solving Quadratics
KEY:quadratic formula
35ANS:
This indicates a strong linear relationship because r is close to -1.
PTS:4REF:011635aiNAT:S.ID.B.6TOP:Regression
KEY:linear with correlation coefficient
36ANS:
PTS:4REF:011636aiNAT:A.CED.A.1TOP:Geometric Applications of Quadratics
37ANS:
Marta is incorrect because
PTS:6REF:011637aiNAT:A.REI.D.12TOP:Graphing Systems of Linear Inequalities
KEY:graph